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nataly862011 [7]
3 years ago
10

Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16

, 20 d. 13, 17, 23 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

B. 12,17,23

Step-by-step explanation:

2,3,5,8, _,_,_

2,3 is increased by 1

3,5 is increased by 2

5,8 is increased by 3.  theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.

Now knowing it is 4,5,6 we need to add, start adding.

8+4=12. Which answers have 12 in them? B and C.

We know 12 is the next number, now we add 5 to that.

12+5=17.

B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.

17+6=23. Its true that it is B, as B is 12.17.23.

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Answer:

D and B

Step-by-step explanation:

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3 years ago
Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

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False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

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timurjin [86]

Answer:

y = -1/2x + 4

Step-by-step explanation:

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It also crosses the y axis at 4,

so it is y = -1/2x + 4

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Akimi4 [234]

Answer:

67

Step-by-step explanation:

Division:-

\sf\Large\qquad\quad67\\ \begin{array}{cc} \cline{2 - 2}\sf 81 )&\sf \ 5472\\&\sf -487 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 602\\ &\sf \ - 567 \\ \cline{2-2} & \sf \ \035 \\ \cline{2-2} \end{array}\\\\\\ Divisor \rightarrow 81 \\ \\ Quotient \rightarrow 67\\\\Remainder \rightarrow 35

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Dmitrij [34]
The answer is 78 because when you add all the numbers it equals 780 and you need to divide the end sum by the amount of numbers added to get it. So in the end there were 10 numbers added to equal 780 so 780\10 equals 78
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Read 2 more answers
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